Geodesic
Identities in almost nilpotent Lie rings
Sbornik. Mathematics, Tome 46 (1983) no. 1, pp. 133-142 
M. V. Volkov; A. G. Gein. Identities in almost nilpotent Lie rings. Sbornik. Mathematics, Tome 46 (1983) no. 1, pp. 133-142. http://geodesic.mathdoc.fr/item/SM_1983_46_1_a6/
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     title = {Identities in almost nilpotent {Lie} rings},
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     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_46_1_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The following Lie rings $L$ are shown to have finite bases for their identities. (i) $L$ has a finite ideal $K$ with $L/K$ nilpotent. (ii) $L$ has a nilpotent ideal $N$ of finite index with $\operatorname{ad}x$ nilpotent on $N$ for each $x\in L$. (iii) $L$ is soluble, algebraic and possesses a nilpotent ideal of finite index. Of independent interest are some other results giving characterizations of certain classes of varieties of Lie rings. Bibliography: 17 titles.

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